International Journal of Applied Mathematics and Theoretical Physics

Volume 3, Issue 3, July 2017

  • Simultaneity, Chronometrology, and the Two Postulates of Relativity

    Steven D. Deines

    Issue: Volume 3, Issue 3, July 2017
    Pages: 43-49
    Received: 21 August 2016
    Accepted: 26 November 2016
    Published: 6 May 2017
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    Abstract: Einstein gave examples whereby simultaneous events recorded by one inertial observer may not be simultaneous for other inertial observers. This paper eliminates a common misconception. Simultaneous events are confused with separated events occurring at the same coordinate time. Simultaneous events are witnessed by all observers, whether inertial or... Show More
  • Vector Addition of Light’s Velocity Versus the Hafele-Keating Time Dilation Test

    Steven D. Deines

    Issue: Volume 3, Issue 3, July 2017
    Pages: 50-55
    Received: 21 August 2016
    Accepted: 26 November 2016
    Published: 6 May 2017
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    Abstract: The equivalence between the constancy of light in all inertial, nongravitated frames and time dilation is derived in this paper. Length contraction is not part of this equivalence and is eliminated by Occam’s razor. The null result of the Mickelson-Morley experiment requires a different explanation for the same intensity of the recombination of spl... Show More
  • Measuring Velocity of Moving Inertial Frames with Light Transmissions

    Steven D. Deines

    Issue: Volume 3, Issue 3, July 2017
    Pages: 56-60
    Received: 31 August 2016
    Accepted: 26 November 2016
    Published: 6 May 2017
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    Abstract: Newton’s Mathematical Principles of Natural Philosophy provided the foundation of classical physics. This paper reviews several of his critical definitions, his three axioms, key corollaries, and concept of inertial frames. Newton’s first axiom or law requires the vector addition of velocities by Corollary I to translate the equation of motion of a... Show More
  • Comparing Relativistic Theories Against Observed Perihelion Shifts of Icarus and Mercury

    Steven D. Deines

    Issue: Volume 3, Issue 3, July 2017
    Pages: 61-73
    Received: 11 October 2016
    Accepted: 3 January 2017
    Published: 28 May 2017
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    Abstract: This paper compares the post-Newtonian approximation (PNA) to general relativity (GR) for the relativistic perihelion shift calculations. Nelson’s PNA predicts 5/6 of GR’s perihelion shift. Using the original Universal Time (UT), Shapiro’s accurate, highly elliptical orbit for Icarus corroborates PNA while GR exceeds the error boundary. The Icarus ... Show More
  • The Interaction of Bilayer Graphene with an External Magnetic Field

    Yuri Petrovich Rybakov, Abdullahi Bappah Ahmed

    Issue: Volume 3, Issue 3, July 2017
    Pages: 74-77
    Received: 14 April 2017
    Accepted: 19 May 2017
    Published: 16 June 2017
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    Abstract: In this phenomenological approach to the study of magnetism in bilayer graphene, the chiral model of graphene was employ to describe the interaction of the bilayer graphene with an external magnetic field. The simplest scalar chiral model of graphene suggested earlier and based on the SU (2) order parameter is generalized by including 8-spinor fiel... Show More